## § Why did maxwell choose his EM wave to be light?

• We Knew gravity as fields
• dalton/thompson atomic model that had particles: protons, neutrons, electron
• Knew electricity and magnetism as fields
• Maxwell wrote down laws, said that the wave solution to his laws was light. (why?)
• Michaelson morly proved speed of light was constant, matched maxwell prediction
• Einstein found photo electric effect. Posited “light particle” (photon). [why light? ]
• De Broglie
• [who connected photon to EM wave through gauge? ]
• Weyl created U(1) symmetry for Maxwell’s equations / photon
• Yang-mills wrote down how photon occurs as particle associated to EM field
• what is the field that electron corresponds to? Electron field? Why no wiki page? Dirac spinor field! Dirac spinor
• How do we get fermi/bose statistics out of the field equation? In QM, when we perform second quantization, ie, solve for single particle and claim that multi particle is the tensoring of single particle, we “choose the statistics” arbitrarily.